Analytic Solutions of the Teukolsky Equation in Kerr-de Sitter and Kerr-Newman-de Sitter Geometries

1999/05/13 by Hisao Suzuki, Eiichi Takasugi, Hiroshi Umetsu · 59 citations
Physics and Astronomy · #Angular momentum #Anti-de Sitter space #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #De Sitter universe #Kerr effect #Mathematical physics #Noncommutative and Quantum Gravity Theories #Nonlinear system #Normalization (sociology) #Physics #Quantum mechanics #Rotating black hole #Universe #de Sitter–Schwarzschild metric #gr-qc

paper · pdf · doi:10.1143/ptp.102.253

published in Progress of Theoretical Physics 102(2), 253-272 (Oxford University Press) · 24 pages, LaTeX

arxiv created 1999/05/13 · openalex publication_date 1999/08/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

An analytic solution of the Teukolsky equation in Kerr-de Sitter and Kerr-Newman-de Sitter geometries is presented, and the properties of this solution are examined. In particular, we show that our solution satisfies the Teukolsky-Starobinsky identities explicitly and fix the relative normalization between solutions with spin weights s and -s.

Citations

• Analytic Solutions of the Teukolsky Equation and their Low Frequency Expansions
• Perturbations of a rotating black hole. III - Interaction of the hole with gravitational and electromagnetic radiation

Cited by

• Perturbations of an extremal Kerr spacetime: Analytic framework and late-time tails